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Finding the Fourth Proportional to 417.42, 575.19 and 388.22

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Solution

The fourth proportional to 417.42, 575.19 and 388.22 is: 534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 575.19 = 388.22 : x
  2. Step 2: Convert to fraction form
    417.42/575.19 = 388.22/x
  3. Step 3: Cross multiply
    417.42x = 575.19 × 388.22
  4. Step 4: Simplify right side
    417.42x = 223,302.10
  5. Step 5: Solve for x
    x = 223,302.10/417.42
  6. Step 6: Final answer
    x = 534.96

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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.