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Finding the Fourth Proportional to 46.35, 64.17 and 42.30

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Solution

The fourth proportional to 46.35, 64.17 and 42.30 is: 58.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.35 : 64.17 = 42.30 : x
  2. Step 2: Convert to fraction form
    46.35/64.17 = 42.30/x
  3. Step 3: Cross multiply
    46.35x = 64.17 × 42.30
  4. Step 4: Simplify right side
    46.35x = 2,714.39
  5. Step 5: Solve for x
    x = 2,714.39/46.35
  6. Step 6: Final answer
    x = 58.56

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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.