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Finding the Fourth Proportional to 317.01, 473.39 and 259.35

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Solution

The fourth proportional to 317.01, 473.39 and 259.35 is: 387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.01 : 473.39 = 259.35 : x
  2. Step 2: Convert to fraction form
    317.01/473.39 = 259.35/x
  3. Step 3: Cross multiply
    317.01x = 473.39 × 259.35
  4. Step 4: Simplify right side
    317.01x = 122,772.40
  5. Step 5: Solve for x
    x = 122,772.40/317.01
  6. Step 6: Final answer
    x = 387.28

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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.