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Finding the Fourth Proportional to 317.04, 472.80 and 275.46

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Solution

The fourth proportional to 317.04, 472.80 and 275.46 is: 410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 472.80 = 275.46 : x
  2. Step 2: Convert to fraction form
    317.04/472.80 = 275.46/x
  3. Step 3: Cross multiply
    317.04x = 472.80 × 275.46
  4. Step 4: Simplify right side
    317.04x = 130,237.49
  5. Step 5: Solve for x
    x = 130,237.49/317.04
  6. Step 6: Final answer
    x = 410.79

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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.