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Finding the Fourth Proportional to 314.76, 474.28 and 261.84

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Solution

The fourth proportional to 314.76, 474.28 and 261.84 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 474.28 = 261.84 : x
  2. Step 2: Convert to fraction form
    314.76/474.28 = 261.84/x
  3. Step 3: Cross multiply
    314.76x = 474.28 × 261.84
  4. Step 4: Simplify right side
    314.76x = 124,185.48
  5. Step 5: Solve for x
    x = 124,185.48/314.76
  6. Step 6: Final answer
    x = 394.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.