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Finding the Fourth Proportional to 287.26, 430.85 and 102.13

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Solution

The fourth proportional to 287.26, 430.85 and 102.13 is: 153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.26 : 430.85 = 102.13 : x
  2. Step 2: Convert to fraction form
    287.26/430.85 = 102.13/x
  3. Step 3: Cross multiply
    287.26x = 430.85 × 102.13
  4. Step 4: Simplify right side
    287.26x = 44,002.71
  5. Step 5: Solve for x
    x = 44,002.71/287.26
  6. Step 6: Final answer
    x = 153.18

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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.