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Finding the Fourth Proportional to 305.10, 457.38 and 275.58

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Solution

The fourth proportional to 305.10, 457.38 and 275.58 is: 413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.10 : 457.38 = 275.58 : x
  2. Step 2: Convert to fraction form
    305.10/457.38 = 275.58/x
  3. Step 3: Cross multiply
    305.10x = 457.38 × 275.58
  4. Step 4: Simplify right side
    305.10x = 126,044.78
  5. Step 5: Solve for x
    x = 126,044.78/305.10
  6. Step 6: Final answer
    x = 413.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.