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Finding the Fourth Proportional to 417.08, 575.28 and 259.54

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Solution

The fourth proportional to 417.08, 575.28 and 259.54 is: 357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.08 : 575.28 = 259.54 : x
  2. Step 2: Convert to fraction form
    417.08/575.28 = 259.54/x
  3. Step 3: Cross multiply
    417.08x = 575.28 × 259.54
  4. Step 4: Simplify right side
    417.08x = 149,308.17
  5. Step 5: Solve for x
    x = 149,308.17/417.08
  6. Step 6: Final answer
    x = 357.98

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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.