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Finding the Fourth Proportional to 421.92, 582.16 and 256.16

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Solution

The fourth proportional to 421.92, 582.16 and 256.16 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 582.16 = 256.16 : x
  2. Step 2: Convert to fraction form
    421.92/582.16 = 256.16/x
  3. Step 3: Cross multiply
    421.92x = 582.16 × 256.16
  4. Step 4: Simplify right side
    421.92x = 149,126.11
  5. Step 5: Solve for x
    x = 149,126.11/421.92
  6. Step 6: Final answer
    x = 353.45

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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.