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Finding the Fourth Proportional to 305.56, 456.14 and 261.75

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Solution

The fourth proportional to 305.56, 456.14 and 261.75 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.56 : 456.14 = 261.75 : x
  2. Step 2: Convert to fraction form
    305.56/456.14 = 261.75/x
  3. Step 3: Cross multiply
    305.56x = 456.14 × 261.75
  4. Step 4: Simplify right side
    305.56x = 119,393.34
  5. Step 5: Solve for x
    x = 119,393.34/305.56
  6. Step 6: Final answer
    x = 390.74

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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.