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Finding the Fourth Proportional to 287.73, 430.01 and 210.86

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Solution

The fourth proportional to 287.73, 430.01 and 210.86 is: 315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.73 : 430.01 = 210.86 : x
  2. Step 2: Convert to fraction form
    287.73/430.01 = 210.86/x
  3. Step 3: Cross multiply
    287.73x = 430.01 × 210.86
  4. Step 4: Simplify right side
    287.73x = 90,668.70
  5. Step 5: Solve for x
    x = 90,668.70/287.73
  6. Step 6: Final answer
    x = 315.12

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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.