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Finding the Fourth Proportional to 287.18, 430.12 and 224.98

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Solution

The fourth proportional to 287.18, 430.12 and 224.98 is: 336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.18 : 430.12 = 224.98 : x
  2. Step 2: Convert to fraction form
    287.18/430.12 = 224.98/x
  3. Step 3: Cross multiply
    287.18x = 430.12 × 224.98
  4. Step 4: Simplify right side
    287.18x = 96,766.76
  5. Step 5: Solve for x
    x = 96,766.76/287.18
  6. Step 6: Final answer
    x = 336.95

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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.