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Finding the Fourth Proportional to 364.11, 545.45 and 291.11

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Solution

The fourth proportional to 364.11, 545.45 and 291.11 is: 436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.11 : 545.45 = 291.11 : x
  2. Step 2: Convert to fraction form
    364.11/545.45 = 291.11/x
  3. Step 3: Cross multiply
    364.11x = 545.45 × 291.11
  4. Step 4: Simplify right side
    364.11x = 158,781.77
  5. Step 5: Solve for x
    x = 158,781.77/364.11
  6. Step 6: Final answer
    x = 436.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.