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Finding the Fourth Proportional to 417.35, 575.45 and 328.66

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Solution

The fourth proportional to 417.35, 575.45 and 328.66 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.35 : 575.45 = 328.66 : x
  2. Step 2: Convert to fraction form
    417.35/575.45 = 328.66/x
  3. Step 3: Cross multiply
    417.35x = 575.45 × 328.66
  4. Step 4: Simplify right side
    417.35x = 189,127.40
  5. Step 5: Solve for x
    x = 189,127.40/417.35
  6. Step 6: Final answer
    x = 453.16

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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.