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Finding the Fourth Proportional to 60.02, 82.77 and 56.78

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Solution

The fourth proportional to 60.02, 82.77 and 56.78 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.02 : 82.77 = 56.78 : x
  2. Step 2: Convert to fraction form
    60.02/82.77 = 56.78/x
  3. Step 3: Cross multiply
    60.02x = 82.77 × 56.78
  4. Step 4: Simplify right side
    60.02x = 4,699.68
  5. Step 5: Solve for x
    x = 4,699.68/60.02
  6. Step 6: Final answer
    x = 78.30

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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.