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Finding the Fourth Proportional to 97.33, 145.30 and 83.47

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Solution

The fourth proportional to 97.33, 145.30 and 83.47 is: 124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.33 : 145.30 = 83.47 : x
  2. Step 2: Convert to fraction form
    97.33/145.30 = 83.47/x
  3. Step 3: Cross multiply
    97.33x = 145.30 × 83.47
  4. Step 4: Simplify right side
    97.33x = 12,127.77
  5. Step 5: Solve for x
    x = 12,127.77/97.33
  6. Step 6: Final answer
    x = 124.60

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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.