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Finding the Fourth Proportional to 493.88, 740.64 and 288.50

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Solution

The fourth proportional to 493.88, 740.64 and 288.50 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.88 : 740.64 = 288.50 : x
  2. Step 2: Convert to fraction form
    493.88/740.64 = 288.50/x
  3. Step 3: Cross multiply
    493.88x = 740.64 × 288.50
  4. Step 4: Simplify right side
    493.88x = 213,674.64
  5. Step 5: Solve for x
    x = 213,674.64/493.88
  6. Step 6: Final answer
    x = 432.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.