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Finding the Fourth Proportional to 417.90, 578.16 and 366.30

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Solution

The fourth proportional to 417.90, 578.16 and 366.30 is: 506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 578.16 = 366.30 : x
  2. Step 2: Convert to fraction form
    417.90/578.16 = 366.30/x
  3. Step 3: Cross multiply
    417.90x = 578.16 × 366.30
  4. Step 4: Simplify right side
    417.90x = 211,780.01
  5. Step 5: Solve for x
    x = 211,780.01/417.90
  6. Step 6: Final answer
    x = 506.77

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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.