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Finding the Fourth Proportional to 46.52, 64.07 and 40.29

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Solution

The fourth proportional to 46.52, 64.07 and 40.29 is: 55.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.52 : 64.07 = 40.29 : x
  2. Step 2: Convert to fraction form
    46.52/64.07 = 40.29/x
  3. Step 3: Cross multiply
    46.52x = 64.07 × 40.29
  4. Step 4: Simplify right side
    46.52x = 2,581.43
  5. Step 5: Solve for x
    x = 2,581.43/46.52
  6. Step 6: Final answer
    x = 55.49

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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.