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Finding the Fourth Proportional to 100.63, 149.95 and 97.36

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Solution

The fourth proportional to 100.63, 149.95 and 97.36 is: 145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.63 : 149.95 = 97.36 : x
  2. Step 2: Convert to fraction form
    100.63/149.95 = 97.36/x
  3. Step 3: Cross multiply
    100.63x = 149.95 × 97.36
  4. Step 4: Simplify right side
    100.63x = 14,599.13
  5. Step 5: Solve for x
    x = 14,599.13/100.63
  6. Step 6: Final answer
    x = 145.08

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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.