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Finding the Fourth Proportional to 545.16, 752.57 and 358.66

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Solution

The fourth proportional to 545.16, 752.57 and 358.66 is: 495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.16 : 752.57 = 358.66 : x
  2. Step 2: Convert to fraction form
    545.16/752.57 = 358.66/x
  3. Step 3: Cross multiply
    545.16x = 752.57 × 358.66
  4. Step 4: Simplify right side
    545.16x = 269,919.27
  5. Step 5: Solve for x
    x = 269,919.27/545.16
  6. Step 6: Final answer
    x = 495.12

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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.