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Finding the Fourth Proportional to 545.36, 752.57 and 302.81

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Solution

The fourth proportional to 545.36, 752.57 and 302.81 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.36 : 752.57 = 302.81 : x
  2. Step 2: Convert to fraction form
    545.36/752.57 = 302.81/x
  3. Step 3: Cross multiply
    545.36x = 752.57 × 302.81
  4. Step 4: Simplify right side
    545.36x = 227,880.44
  5. Step 5: Solve for x
    x = 227,880.44/545.36
  6. Step 6: Final answer
    x = 417.86

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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.