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Finding the Fourth Proportional to 100.78, 150.04 and 99.68

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Solution

The fourth proportional to 100.78, 150.04 and 99.68 is: 148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 150.04 = 99.68 : x
  2. Step 2: Convert to fraction form
    100.78/150.04 = 99.68/x
  3. Step 3: Cross multiply
    100.78x = 150.04 × 99.68
  4. Step 4: Simplify right side
    100.78x = 14,955.99
  5. Step 5: Solve for x
    x = 14,955.99/100.78
  6. Step 6: Final answer
    x = 148.40

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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.