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Finding the Fourth Proportional to 60.78, 90.78 and 53.19

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Solution

The fourth proportional to 60.78, 90.78 and 53.19 is: 79.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.78 : 90.78 = 53.19 : x
  2. Step 2: Convert to fraction form
    60.78/90.78 = 53.19/x
  3. Step 3: Cross multiply
    60.78x = 90.78 × 53.19
  4. Step 4: Simplify right side
    60.78x = 4,828.59
  5. Step 5: Solve for x
    x = 4,828.59/60.78
  6. Step 6: Final answer
    x = 79.44

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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.