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Finding the Fourth Proportional to 328.18, 492.18 and 97.01

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Solution

The fourth proportional to 328.18, 492.18 and 97.01 is: 145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.18 : 492.18 = 97.01 : x
  2. Step 2: Convert to fraction form
    328.18/492.18 = 97.01/x
  3. Step 3: Cross multiply
    328.18x = 492.18 × 97.01
  4. Step 4: Simplify right side
    328.18x = 47,743.92
  5. Step 5: Solve for x
    x = 47,743.92/328.18
  6. Step 6: Final answer
    x = 145.48

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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.