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Finding the Fourth Proportional to 630.96, 946.80 and 266.04

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Solution

The fourth proportional to 630.96, 946.80 and 266.04 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.96 : 946.80 = 266.04 : x
  2. Step 2: Convert to fraction form
    630.96/946.80 = 266.04/x
  3. Step 3: Cross multiply
    630.96x = 946.80 × 266.04
  4. Step 4: Simplify right side
    630.96x = 251,886.67
  5. Step 5: Solve for x
    x = 251,886.67/630.96
  6. Step 6: Final answer
    x = 399.21

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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.