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Finding the Fourth Proportional to 347.18, 520.91 and 152.21

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Solution

The fourth proportional to 347.18, 520.91 and 152.21 is: 228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.18 : 520.91 = 152.21 : x
  2. Step 2: Convert to fraction form
    347.18/520.91 = 152.21/x
  3. Step 3: Cross multiply
    347.18x = 520.91 × 152.21
  4. Step 4: Simplify right side
    347.18x = 79,288.82
  5. Step 5: Solve for x
    x = 79,288.82/347.18
  6. Step 6: Final answer
    x = 228.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.