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Finding the Fourth Proportional to 373.49, 515.03 and 280.24

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Solution

The fourth proportional to 373.49, 515.03 and 280.24 is: 386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.49 : 515.03 = 280.24 : x
  2. Step 2: Convert to fraction form
    373.49/515.03 = 280.24/x
  3. Step 3: Cross multiply
    373.49x = 515.03 × 280.24
  4. Step 4: Simplify right side
    373.49x = 144,332.01
  5. Step 5: Solve for x
    x = 144,332.01/373.49
  6. Step 6: Final answer
    x = 386.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.