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Finding the Fourth Proportional to 282.02, 423 and 96.93

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Solution

The fourth proportional to 282.02, 423 and 96.93 is: 145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 423 = 96.93 : x
  2. Step 2: Convert to fraction form
    282.02/423 = 96.93/x
  3. Step 3: Cross multiply
    282.02x = 423 × 96.93
  4. Step 4: Simplify right side
    282.02x = 41,001.39
  5. Step 5: Solve for x
    x = 41,001.39/282.02
  6. Step 6: Final answer
    x = 145.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.