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Finding the Fourth Proportional to 100.02, 138.02 and 56.35

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Solution

The fourth proportional to 100.02, 138.02 and 56.35 is: 77.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 138.02 = 56.35 : x
  2. Step 2: Convert to fraction form
    100.02/138.02 = 56.35/x
  3. Step 3: Cross multiply
    100.02x = 138.02 × 56.35
  4. Step 4: Simplify right side
    100.02x = 7,776.80
  5. Step 5: Solve for x
    x = 7,776.80/100.02
  6. Step 6: Final answer
    x = 77.75

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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.