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Finding the Fourth Proportional to 345.47, 515.41 and 317.25

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Solution

The fourth proportional to 345.47, 515.41 and 317.25 is: 473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.47 : 515.41 = 317.25 : x
  2. Step 2: Convert to fraction form
    345.47/515.41 = 317.25/x
  3. Step 3: Cross multiply
    345.47x = 515.41 × 317.25
  4. Step 4: Simplify right side
    345.47x = 163,512.24
  5. Step 5: Solve for x
    x = 163,512.24/345.47
  6. Step 6: Final answer
    x = 473.30

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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.