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Finding the Fourth Proportional to 474.95, 656.28 and 370.31

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Solution

The fourth proportional to 474.95, 656.28 and 370.31 is: 511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.95 : 656.28 = 370.31 : x
  2. Step 2: Convert to fraction form
    474.95/656.28 = 370.31/x
  3. Step 3: Cross multiply
    474.95x = 656.28 × 370.31
  4. Step 4: Simplify right side
    474.95x = 243,023.77
  5. Step 5: Solve for x
    x = 243,023.77/474.95
  6. Step 6: Final answer
    x = 511.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.