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Finding the Fourth Proportional to 993.40, 1,490.11 and 262.98

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Solution

The fourth proportional to 993.40, 1,490.11 and 262.98 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.40 : 1,490.11 = 262.98 : x
  2. Step 2: Convert to fraction form
    993.40/1,490.11 = 262.98/x
  3. Step 3: Cross multiply
    993.40x = 1,490.11 × 262.98
  4. Step 4: Simplify right side
    993.40x = 391,868.47
  5. Step 5: Solve for x
    x = 391,868.47/993.40
  6. Step 6: Final answer
    x = 394.47

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.