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Finding the Fourth Proportional to 317.60, 479.08 and 313.12

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Solution

The fourth proportional to 317.60, 479.08 and 313.12 is: 472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.60 : 479.08 = 313.12 : x
  2. Step 2: Convert to fraction form
    317.60/479.08 = 313.12/x
  3. Step 3: Cross multiply
    317.60x = 479.08 × 313.12
  4. Step 4: Simplify right side
    317.60x = 150,009.53
  5. Step 5: Solve for x
    x = 150,009.53/317.60
  6. Step 6: Final answer
    x = 472.32

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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.