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Finding the Fourth Proportional to 540.81, 746.30 and 307.93

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Solution

The fourth proportional to 540.81, 746.30 and 307.93 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 746.30 = 307.93 : x
  2. Step 2: Convert to fraction form
    540.81/746.30 = 307.93/x
  3. Step 3: Cross multiply
    540.81x = 746.30 × 307.93
  4. Step 4: Simplify right side
    540.81x = 229,808.16
  5. Step 5: Solve for x
    x = 229,808.16/540.81
  6. Step 6: Final answer
    x = 424.93

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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.