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Finding the Fourth Proportional to 100.94, 150.40 and 97.07

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Solution

The fourth proportional to 100.94, 150.40 and 97.07 is: 144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 150.40 = 97.07 : x
  2. Step 2: Convert to fraction form
    100.94/150.40 = 97.07/x
  3. Step 3: Cross multiply
    100.94x = 150.40 × 97.07
  4. Step 4: Simplify right side
    100.94x = 14,598.70
  5. Step 5: Solve for x
    x = 14,598.70/100.94
  6. Step 6: Final answer
    x = 144.63

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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.