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Finding the Fourth Proportional to 100.34, 149.78 and 88.19

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Solution

The fourth proportional to 100.34, 149.78 and 88.19 is: 131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 149.78 = 88.19 : x
  2. Step 2: Convert to fraction form
    100.34/149.78 = 88.19/x
  3. Step 3: Cross multiply
    100.34x = 149.78 × 88.19
  4. Step 4: Simplify right side
    100.34x = 13,209.10
  5. Step 5: Solve for x
    x = 13,209.10/100.34
  6. Step 6: Final answer
    x = 131.64

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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.