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Finding the Fourth Proportional to 312.77, 432.03 and 239.99

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Solution

The fourth proportional to 312.77, 432.03 and 239.99 is: 331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.77 : 432.03 = 239.99 : x
  2. Step 2: Convert to fraction form
    312.77/432.03 = 239.99/x
  3. Step 3: Cross multiply
    312.77x = 432.03 × 239.99
  4. Step 4: Simplify right side
    312.77x = 103,681.17
  5. Step 5: Solve for x
    x = 103,681.17/312.77
  6. Step 6: Final answer
    x = 331.49

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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.