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Finding the Fourth Proportional to 383.77, 530.14 and 342.31

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Solution

The fourth proportional to 383.77, 530.14 and 342.31 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.77 : 530.14 = 342.31 : x
  2. Step 2: Convert to fraction form
    383.77/530.14 = 342.31/x
  3. Step 3: Cross multiply
    383.77x = 530.14 × 342.31
  4. Step 4: Simplify right side
    383.77x = 181,470.04
  5. Step 5: Solve for x
    x = 181,470.04/383.77
  6. Step 6: Final answer
    x = 472.86

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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.