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Finding the Fourth Proportional to 317.76, 478.52 and 277.68

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Solution

The fourth proportional to 317.76, 478.52 and 277.68 is: 418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 478.52 = 277.68 : x
  2. Step 2: Convert to fraction form
    317.76/478.52 = 277.68/x
  3. Step 3: Cross multiply
    317.76x = 478.52 × 277.68
  4. Step 4: Simplify right side
    317.76x = 132,875.43
  5. Step 5: Solve for x
    x = 132,875.43/317.76
  6. Step 6: Final answer
    x = 418.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.