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Finding the Fourth Proportional to 411.30, 570.18 and 390.24

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Solution

The fourth proportional to 411.30, 570.18 and 390.24 is: 540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 570.18 = 390.24 : x
  2. Step 2: Convert to fraction form
    411.30/570.18 = 390.24/x
  3. Step 3: Cross multiply
    411.30x = 570.18 × 390.24
  4. Step 4: Simplify right side
    411.30x = 222,507.04
  5. Step 5: Solve for x
    x = 222,507.04/411.30
  6. Step 6: Final answer
    x = 540.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.