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Finding the Fourth Proportional to 474.95, 656.06 and 365.78

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Solution

The fourth proportional to 474.95, 656.06 and 365.78 is: 505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.95 : 656.06 = 365.78 : x
  2. Step 2: Convert to fraction form
    474.95/656.06 = 365.78/x
  3. Step 3: Cross multiply
    474.95x = 656.06 × 365.78
  4. Step 4: Simplify right side
    474.95x = 239,973.63
  5. Step 5: Solve for x
    x = 239,973.63/474.95
  6. Step 6: Final answer
    x = 505.26

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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.