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Finding the Fourth Proportional to 282.50, 423.75 and 111.50

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Solution

The fourth proportional to 282.50, 423.75 and 111.50 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 423.75 = 111.50 : x
  2. Step 2: Convert to fraction form
    282.50/423.75 = 111.50/x
  3. Step 3: Cross multiply
    282.50x = 423.75 × 111.50
  4. Step 4: Simplify right side
    282.50x = 47,248.13
  5. Step 5: Solve for x
    x = 47,248.13/282.50
  6. Step 6: Final answer
    x = 167.25

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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.