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Finding the Fourth Proportional to 417.08, 575.47 and 312.51

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Solution

The fourth proportional to 417.08, 575.47 and 312.51 is: 431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.08 : 575.47 = 312.51 : x
  2. Step 2: Convert to fraction form
    417.08/575.47 = 312.51/x
  3. Step 3: Cross multiply
    417.08x = 575.47 × 312.51
  4. Step 4: Simplify right side
    417.08x = 179,839.35
  5. Step 5: Solve for x
    x = 179,839.35/417.08
  6. Step 6: Final answer
    x = 431.19

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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.