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Finding the Fourth Proportional to 347.02, 520.16 and 141.50

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Solution

The fourth proportional to 347.02, 520.16 and 141.50 is: 212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.02 : 520.16 = 141.50 : x
  2. Step 2: Convert to fraction form
    347.02/520.16 = 141.50/x
  3. Step 3: Cross multiply
    347.02x = 520.16 × 141.50
  4. Step 4: Simplify right side
    347.02x = 73,603.23
  5. Step 5: Solve for x
    x = 73,603.23/347.02
  6. Step 6: Final answer
    x = 212.10

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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.