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Finding the Fourth Proportional to 542.64, 749.16 and 346.32

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Solution

The fourth proportional to 542.64, 749.16 and 346.32 is: 478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 749.16 = 346.32 : x
  2. Step 2: Convert to fraction form
    542.64/749.16 = 346.32/x
  3. Step 3: Cross multiply
    542.64x = 749.16 × 346.32
  4. Step 4: Simplify right side
    542.64x = 259,449.09
  5. Step 5: Solve for x
    x = 259,449.09/542.64
  6. Step 6: Final answer
    x = 478.12

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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.