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Finding the Fourth Proportional to 537, 740.98 and 304.12

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Solution

The fourth proportional to 537, 740.98 and 304.12 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 740.98 = 304.12 : x
  2. Step 2: Convert to fraction form
    537/740.98 = 304.12/x
  3. Step 3: Cross multiply
    537x = 740.98 × 304.12
  4. Step 4: Simplify right side
    537x = 225,346.84
  5. Step 5: Solve for x
    x = 225,346.84/537
  6. Step 6: Final answer
    x = 419.64

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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.