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Finding the Fourth Proportional to 347.13, 478.75 and 242.22

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Solution

The fourth proportional to 347.13, 478.75 and 242.22 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.13 : 478.75 = 242.22 : x
  2. Step 2: Convert to fraction form
    347.13/478.75 = 242.22/x
  3. Step 3: Cross multiply
    347.13x = 478.75 × 242.22
  4. Step 4: Simplify right side
    347.13x = 115,962.83
  5. Step 5: Solve for x
    x = 115,962.83/347.13
  6. Step 6: Final answer
    x = 334.06

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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.