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Finding the Fourth Proportional to 346.76, 478.45 and 263.74

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Solution

The fourth proportional to 346.76, 478.45 and 263.74 is: 363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.76 : 478.45 = 263.74 : x
  2. Step 2: Convert to fraction form
    346.76/478.45 = 263.74/x
  3. Step 3: Cross multiply
    346.76x = 478.45 × 263.74
  4. Step 4: Simplify right side
    346.76x = 126,186.40
  5. Step 5: Solve for x
    x = 126,186.40/346.76
  6. Step 6: Final answer
    x = 363.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.