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Finding the Fourth Proportional to 545.51, 817.45 and 302.11

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Solution

The fourth proportional to 545.51, 817.45 and 302.11 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.51 : 817.45 = 302.11 : x
  2. Step 2: Convert to fraction form
    545.51/817.45 = 302.11/x
  3. Step 3: Cross multiply
    545.51x = 817.45 × 302.11
  4. Step 4: Simplify right side
    545.51x = 246,959.82
  5. Step 5: Solve for x
    x = 246,959.82/545.51
  6. Step 6: Final answer
    x = 452.71

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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.