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Finding the Fourth Proportional to 375.02, 561.15 and 221.01

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Solution

The fourth proportional to 375.02, 561.15 and 221.01 is: 330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.02 : 561.15 = 221.01 : x
  2. Step 2: Convert to fraction form
    375.02/561.15 = 221.01/x
  3. Step 3: Cross multiply
    375.02x = 561.15 × 221.01
  4. Step 4: Simplify right side
    375.02x = 124,019.76
  5. Step 5: Solve for x
    x = 124,019.76/375.02
  6. Step 6: Final answer
    x = 330.71

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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.