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Finding the Fourth Proportional to 302.46, 451.47 and 276.81

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Solution

The fourth proportional to 302.46, 451.47 and 276.81 is: 413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 451.47 = 276.81 : x
  2. Step 2: Convert to fraction form
    302.46/451.47 = 276.81/x
  3. Step 3: Cross multiply
    302.46x = 451.47 × 276.81
  4. Step 4: Simplify right side
    302.46x = 124,971.41
  5. Step 5: Solve for x
    x = 124,971.41/302.46
  6. Step 6: Final answer
    x = 413.18

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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.