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Finding the Fourth Proportional to 631.02, 946.55 and 168.78

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Solution

The fourth proportional to 631.02, 946.55 and 168.78 is: 253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.02 : 946.55 = 168.78 : x
  2. Step 2: Convert to fraction form
    631.02/946.55 = 168.78/x
  3. Step 3: Cross multiply
    631.02x = 946.55 × 168.78
  4. Step 4: Simplify right side
    631.02x = 159,758.71
  5. Step 5: Solve for x
    x = 159,758.71/631.02
  6. Step 6: Final answer
    x = 253.18

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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.