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Finding the Fourth Proportional to 545.78, 753.16 and 309.72

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Solution

The fourth proportional to 545.78, 753.16 and 309.72 is: 427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.78 : 753.16 = 309.72 : x
  2. Step 2: Convert to fraction form
    545.78/753.16 = 309.72/x
  3. Step 3: Cross multiply
    545.78x = 753.16 × 309.72
  4. Step 4: Simplify right side
    545.78x = 233,268.72
  5. Step 5: Solve for x
    x = 233,268.72/545.78
  6. Step 6: Final answer
    x = 427.40

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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.