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Finding the Fourth Proportional to 437.48, 603.56 and 280.13

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Solution

The fourth proportional to 437.48, 603.56 and 280.13 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.48 : 603.56 = 280.13 : x
  2. Step 2: Convert to fraction form
    437.48/603.56 = 280.13/x
  3. Step 3: Cross multiply
    437.48x = 603.56 × 280.13
  4. Step 4: Simplify right side
    437.48x = 169,077.47
  5. Step 5: Solve for x
    x = 169,077.47/437.48
  6. Step 6: Final answer
    x = 386.48

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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.