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Finding the Fourth Proportional to 345.02, 475.70 and 240.20

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Solution

The fourth proportional to 345.02, 475.70 and 240.20 is: 331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 475.70 = 240.20 : x
  2. Step 2: Convert to fraction form
    345.02/475.70 = 240.20/x
  3. Step 3: Cross multiply
    345.02x = 475.70 × 240.20
  4. Step 4: Simplify right side
    345.02x = 114,263.14
  5. Step 5: Solve for x
    x = 114,263.14/345.02
  6. Step 6: Final answer
    x = 331.18

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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.