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Finding the Fourth Proportional to 472.48, 707.52 and 256.08

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Solution

The fourth proportional to 472.48, 707.52 and 256.08 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 707.52 = 256.08 : x
  2. Step 2: Convert to fraction form
    472.48/707.52 = 256.08/x
  3. Step 3: Cross multiply
    472.48x = 707.52 × 256.08
  4. Step 4: Simplify right side
    472.48x = 181,181.72
  5. Step 5: Solve for x
    x = 181,181.72/472.48
  6. Step 6: Final answer
    x = 383.47

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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.