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Finding the Fourth Proportional to 314.60, 468.38 and 310.04

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Solution

The fourth proportional to 314.60, 468.38 and 310.04 is: 461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 468.38 = 310.04 : x
  2. Step 2: Convert to fraction form
    314.60/468.38 = 310.04/x
  3. Step 3: Cross multiply
    314.60x = 468.38 × 310.04
  4. Step 4: Simplify right side
    314.60x = 145,216.72
  5. Step 5: Solve for x
    x = 145,216.72/314.60
  6. Step 6: Final answer
    x = 461.60

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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.