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Finding the Fourth Proportional to 287.19, 430.47 and 140.72

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Solution

The fourth proportional to 287.19, 430.47 and 140.72 is: 210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.19 : 430.47 = 140.72 : x
  2. Step 2: Convert to fraction form
    287.19/430.47 = 140.72/x
  3. Step 3: Cross multiply
    287.19x = 430.47 × 140.72
  4. Step 4: Simplify right side
    287.19x = 60,573.59
  5. Step 5: Solve for x
    x = 60,573.59/287.19
  6. Step 6: Final answer
    x = 210.92

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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.