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Finding the Fourth Proportional to 60.77, 90.69 and 51.68

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Solution

The fourth proportional to 60.77, 90.69 and 51.68 is: 77.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.77 : 90.69 = 51.68 : x
  2. Step 2: Convert to fraction form
    60.77/90.69 = 51.68/x
  3. Step 3: Cross multiply
    60.77x = 90.69 × 51.68
  4. Step 4: Simplify right side
    60.77x = 4,686.86
  5. Step 5: Solve for x
    x = 4,686.86/60.77
  6. Step 6: Final answer
    x = 77.12

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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.