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Finding the Fourth Proportional to 417.35, 575.78 and 270.07

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Solution

The fourth proportional to 417.35, 575.78 and 270.07 is: 372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.35 : 575.78 = 270.07 : x
  2. Step 2: Convert to fraction form
    417.35/575.78 = 270.07/x
  3. Step 3: Cross multiply
    417.35x = 575.78 × 270.07
  4. Step 4: Simplify right side
    417.35x = 155,498.11
  5. Step 5: Solve for x
    x = 155,498.11/417.35
  6. Step 6: Final answer
    x = 372.58

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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.