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Finding the Fourth Proportional to 545.55, 752.94 and 309.50

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Solution

The fourth proportional to 545.55, 752.94 and 309.50 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.55 : 752.94 = 309.50 : x
  2. Step 2: Convert to fraction form
    545.55/752.94 = 309.50/x
  3. Step 3: Cross multiply
    545.55x = 752.94 × 309.50
  4. Step 4: Simplify right side
    545.55x = 233,031.17
  5. Step 5: Solve for x
    x = 233,031.17/545.55
  6. Step 6: Final answer
    x = 427.15

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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.