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Finding the Fourth Proportional to 545.26, 752.47 and 312.40

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Solution

The fourth proportional to 545.26, 752.47 and 312.40 is: 431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.26 : 752.47 = 312.40 : x
  2. Step 2: Convert to fraction form
    545.26/752.47 = 312.40/x
  3. Step 3: Cross multiply
    545.26x = 752.47 × 312.40
  4. Step 4: Simplify right side
    545.26x = 235,071.63
  5. Step 5: Solve for x
    x = 235,071.63/545.26
  6. Step 6: Final answer
    x = 431.12

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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.