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Finding the Fourth Proportional to 410.20, 564.78 and 345.40

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Solution

The fourth proportional to 410.20, 564.78 and 345.40 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.20 : 564.78 = 345.40 : x
  2. Step 2: Convert to fraction form
    410.20/564.78 = 345.40/x
  3. Step 3: Cross multiply
    410.20x = 564.78 × 345.40
  4. Step 4: Simplify right side
    410.20x = 195,075.01
  5. Step 5: Solve for x
    x = 195,075.01/410.20
  6. Step 6: Final answer
    x = 475.56

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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.