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Finding the Fourth Proportional to 418.02, 578.36 and 355.66

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Solution

The fourth proportional to 418.02, 578.36 and 355.66 is: 492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.02 : 578.36 = 355.66 : x
  2. Step 2: Convert to fraction form
    418.02/578.36 = 355.66/x
  3. Step 3: Cross multiply
    418.02x = 578.36 × 355.66
  4. Step 4: Simplify right side
    418.02x = 205,699.52
  5. Step 5: Solve for x
    x = 205,699.52/418.02
  6. Step 6: Final answer
    x = 492.08

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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.