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Finding the Fourth Proportional to 347.34, 478.85 and 247.81

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Solution

The fourth proportional to 347.34, 478.85 and 247.81 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.34 : 478.85 = 247.81 : x
  2. Step 2: Convert to fraction form
    347.34/478.85 = 247.81/x
  3. Step 3: Cross multiply
    347.34x = 478.85 × 247.81
  4. Step 4: Simplify right side
    347.34x = 118,663.82
  5. Step 5: Solve for x
    x = 118,663.82/347.34
  6. Step 6: Final answer
    x = 341.64

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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.