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Finding the Fourth Proportional to 472.48, 707.68 and 256.16

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Solution

The fourth proportional to 472.48, 707.68 and 256.16 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 707.68 = 256.16 : x
  2. Step 2: Convert to fraction form
    472.48/707.68 = 256.16/x
  3. Step 3: Cross multiply
    472.48x = 707.68 × 256.16
  4. Step 4: Simplify right side
    472.48x = 181,279.31
  5. Step 5: Solve for x
    x = 181,279.31/472.48
  6. Step 6: Final answer
    x = 383.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.