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Finding the Fourth Proportional to 317.50, 478.70 and 254.14

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Solution

The fourth proportional to 317.50, 478.70 and 254.14 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.50 : 478.70 = 254.14 : x
  2. Step 2: Convert to fraction form
    317.50/478.70 = 254.14/x
  3. Step 3: Cross multiply
    317.50x = 478.70 × 254.14
  4. Step 4: Simplify right side
    317.50x = 121,656.82
  5. Step 5: Solve for x
    x = 121,656.82/317.50
  6. Step 6: Final answer
    x = 383.17

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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.