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Finding the Fourth Proportional to 314.40, 468.05 and 310.89

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Solution

The fourth proportional to 314.40, 468.05 and 310.89 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 468.05 = 310.89 : x
  2. Step 2: Convert to fraction form
    314.40/468.05 = 310.89/x
  3. Step 3: Cross multiply
    314.40x = 468.05 × 310.89
  4. Step 4: Simplify right side
    314.40x = 145,512.06
  5. Step 5: Solve for x
    x = 145,512.06/314.40
  6. Step 6: Final answer
    x = 462.82

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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.