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Finding the Fourth Proportional to 328.02, 491.16 and 225.50

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Solution

The fourth proportional to 328.02, 491.16 and 225.50 is: 337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.02 : 491.16 = 225.50 : x
  2. Step 2: Convert to fraction form
    328.02/491.16 = 225.50/x
  3. Step 3: Cross multiply
    328.02x = 491.16 × 225.50
  4. Step 4: Simplify right side
    328.02x = 110,756.58
  5. Step 5: Solve for x
    x = 110,756.58/328.02
  6. Step 6: Final answer
    x = 337.65

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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.