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Finding the Fourth Proportional to 287.12, 430.42 and 124.68

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Solution

The fourth proportional to 287.12, 430.42 and 124.68 is: 186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.12 : 430.42 = 124.68 : x
  2. Step 2: Convert to fraction form
    287.12/430.42 = 124.68/x
  3. Step 3: Cross multiply
    287.12x = 430.42 × 124.68
  4. Step 4: Simplify right side
    287.12x = 53,664.77
  5. Step 5: Solve for x
    x = 53,664.77/287.12
  6. Step 6: Final answer
    x = 186.91

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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.