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Finding the Fourth Proportional to 1,302.16, 1,952.94 and 377.50

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Solution

The fourth proportional to 1,302.16, 1,952.94 and 377.50 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.16 : 1,952.94 = 377.50 : x
  2. Step 2: Convert to fraction form
    1,302.16/1,952.94 = 377.50/x
  3. Step 3: Cross multiply
    1,302.16x = 1,952.94 × 377.50
  4. Step 4: Simplify right side
    1,302.16x = 737,234.85
  5. Step 5: Solve for x
    x = 737,234.85/1,302.16
  6. Step 6: Final answer
    x = 566.16

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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.