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Finding the Fourth Proportional to 432.16, 596.08 and 345.04

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Solution

The fourth proportional to 432.16, 596.08 and 345.04 is: 475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 596.08 = 345.04 : x
  2. Step 2: Convert to fraction form
    432.16/596.08 = 345.04/x
  3. Step 3: Cross multiply
    432.16x = 596.08 × 345.04
  4. Step 4: Simplify right side
    432.16x = 205,671.44
  5. Step 5: Solve for x
    x = 205,671.44/432.16
  6. Step 6: Final answer
    x = 475.92

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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.