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Finding the Fourth Proportional to 313.13, 432.32 and 280.32

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Solution

The fourth proportional to 313.13, 432.32 and 280.32 is: 387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.13 : 432.32 = 280.32 : x
  2. Step 2: Convert to fraction form
    313.13/432.32 = 280.32/x
  3. Step 3: Cross multiply
    313.13x = 432.32 × 280.32
  4. Step 4: Simplify right side
    313.13x = 121,186.54
  5. Step 5: Solve for x
    x = 121,186.54/313.13
  6. Step 6: Final answer
    x = 387.02

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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.