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Finding the Fourth Proportional to 46.59, 64.38 and 42.45

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Solution

The fourth proportional to 46.59, 64.38 and 42.45 is: 58.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.59 : 64.38 = 42.45 : x
  2. Step 2: Convert to fraction form
    46.59/64.38 = 42.45/x
  3. Step 3: Cross multiply
    46.59x = 64.38 × 42.45
  4. Step 4: Simplify right side
    46.59x = 2,732.93
  5. Step 5: Solve for x
    x = 2,732.93/46.59
  6. Step 6: Final answer
    x = 58.66

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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.