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Finding the Fourth Proportional to 60.68, 90.64 and 45.38

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Solution

The fourth proportional to 60.68, 90.64 and 45.38 is: 67.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.68 : 90.64 = 45.38 : x
  2. Step 2: Convert to fraction form
    60.68/90.64 = 45.38/x
  3. Step 3: Cross multiply
    60.68x = 90.64 × 45.38
  4. Step 4: Simplify right side
    60.68x = 4,113.24
  5. Step 5: Solve for x
    x = 4,113.24/60.68
  6. Step 6: Final answer
    x = 67.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.