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Finding the Fourth Proportional to 314.16, 467.91 and 310.56

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Solution

The fourth proportional to 314.16, 467.91 and 310.56 is: 462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 467.91 = 310.56 : x
  2. Step 2: Convert to fraction form
    314.16/467.91 = 310.56/x
  3. Step 3: Cross multiply
    314.16x = 467.91 × 310.56
  4. Step 4: Simplify right side
    314.16x = 145,314.13
  5. Step 5: Solve for x
    x = 145,314.13/314.16
  6. Step 6: Final answer
    x = 462.55

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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.