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Finding the Fourth Proportional to 64.22, 88.65 and 43.57

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Solution

The fourth proportional to 64.22, 88.65 and 43.57 is: 60.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.22 : 88.65 = 43.57 : x
  2. Step 2: Convert to fraction form
    64.22/88.65 = 43.57/x
  3. Step 3: Cross multiply
    64.22x = 88.65 × 43.57
  4. Step 4: Simplify right side
    64.22x = 3,861.82
  5. Step 5: Solve for x
    x = 3,861.82/64.22
  6. Step 6: Final answer
    x = 60.13

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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.