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Finding the Fourth Proportional to 287.29, 430.74 and 150.16

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Solution

The fourth proportional to 287.29, 430.74 and 150.16 is: 225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.29 : 430.74 = 150.16 : x
  2. Step 2: Convert to fraction form
    287.29/430.74 = 150.16/x
  3. Step 3: Cross multiply
    287.29x = 430.74 × 150.16
  4. Step 4: Simplify right side
    287.29x = 64,679.92
  5. Step 5: Solve for x
    x = 64,679.92/287.29
  6. Step 6: Final answer
    x = 225.14

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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.