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Finding the Fourth Proportional to 314.60, 469.38 and 279.95

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Solution

The fourth proportional to 314.60, 469.38 and 279.95 is: 417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 469.38 = 279.95 : x
  2. Step 2: Convert to fraction form
    314.60/469.38 = 279.95/x
  3. Step 3: Cross multiply
    314.60x = 469.38 × 279.95
  4. Step 4: Simplify right side
    314.60x = 131,401.53
  5. Step 5: Solve for x
    x = 131,401.53/314.60
  6. Step 6: Final answer
    x = 417.68

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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.