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Finding the Fourth Proportional to 262.15, 392.80 and 240.03

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Solution

The fourth proportional to 262.15, 392.80 and 240.03 is: 359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.15 : 392.80 = 240.03 : x
  2. Step 2: Convert to fraction form
    262.15/392.80 = 240.03/x
  3. Step 3: Cross multiply
    262.15x = 392.80 × 240.03
  4. Step 4: Simplify right side
    262.15x = 94,283.78
  5. Step 5: Solve for x
    x = 94,283.78/262.15
  6. Step 6: Final answer
    x = 359.66

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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.