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Finding the Fourth Proportional to 347.34, 520.69 and 152.22

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Solution

The fourth proportional to 347.34, 520.69 and 152.22 is: 228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.34 : 520.69 = 152.22 : x
  2. Step 2: Convert to fraction form
    347.34/520.69 = 152.22/x
  3. Step 3: Cross multiply
    347.34x = 520.69 × 152.22
  4. Step 4: Simplify right side
    347.34x = 79,259.43
  5. Step 5: Solve for x
    x = 79,259.43/347.34
  6. Step 6: Final answer
    x = 228.19

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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.