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Finding the Fourth Proportional to 316.02, 471.32 and 277.74

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Solution

The fourth proportional to 316.02, 471.32 and 277.74 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.02 : 471.32 = 277.74 : x
  2. Step 2: Convert to fraction form
    316.02/471.32 = 277.74/x
  3. Step 3: Cross multiply
    316.02x = 471.32 × 277.74
  4. Step 4: Simplify right side
    316.02x = 130,904.42
  5. Step 5: Solve for x
    x = 130,904.42/316.02
  6. Step 6: Final answer
    x = 414.23

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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.