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Finding the Fourth Proportional to 540.39, 745.76 and 307.53

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Solution

The fourth proportional to 540.39, 745.76 and 307.53 is: 424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.39 : 745.76 = 307.53 : x
  2. Step 2: Convert to fraction form
    540.39/745.76 = 307.53/x
  3. Step 3: Cross multiply
    540.39x = 745.76 × 307.53
  4. Step 4: Simplify right side
    540.39x = 229,342.04
  5. Step 5: Solve for x
    x = 229,342.04/540.39
  6. Step 6: Final answer
    x = 424.40

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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.