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Finding the Fourth Proportional to 317.90, 474.55 and 274.84

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Solution

The fourth proportional to 317.90, 474.55 and 274.84 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 474.55 = 274.84 : x
  2. Step 2: Convert to fraction form
    317.90/474.55 = 274.84/x
  3. Step 3: Cross multiply
    317.90x = 474.55 × 274.84
  4. Step 4: Simplify right side
    317.90x = 130,425.32
  5. Step 5: Solve for x
    x = 130,425.32/317.90
  6. Step 6: Final answer
    x = 410.27

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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.