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Finding the Fourth Proportional to 305.90, 455.76 and 294.92

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Solution

The fourth proportional to 305.90, 455.76 and 294.92 is: 439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.90 : 455.76 = 294.92 : x
  2. Step 2: Convert to fraction form
    305.90/455.76 = 294.92/x
  3. Step 3: Cross multiply
    305.90x = 455.76 × 294.92
  4. Step 4: Simplify right side
    305.90x = 134,412.74
  5. Step 5: Solve for x
    x = 134,412.74/305.90
  6. Step 6: Final answer
    x = 439.40

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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.