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Finding the Fourth Proportional to 310.16, 462.12 and 305.71

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Solution

The fourth proportional to 310.16, 462.12 and 305.71 is: 455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 462.12 = 305.71 : x
  2. Step 2: Convert to fraction form
    310.16/462.12 = 305.71/x
  3. Step 3: Cross multiply
    310.16x = 462.12 × 305.71
  4. Step 4: Simplify right side
    310.16x = 141,274.12
  5. Step 5: Solve for x
    x = 141,274.12/310.16
  6. Step 6: Final answer
    x = 455.48

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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.