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Finding the Fourth Proportional to 319.50, 476.12 and 309.66

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Solution

The fourth proportional to 319.50, 476.12 and 309.66 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 476.12 = 309.66 : x
  2. Step 2: Convert to fraction form
    319.50/476.12 = 309.66/x
  3. Step 3: Cross multiply
    319.50x = 476.12 × 309.66
  4. Step 4: Simplify right side
    319.50x = 147,433.77
  5. Step 5: Solve for x
    x = 147,433.77/319.50
  6. Step 6: Final answer
    x = 461.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.