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Finding the Fourth Proportional to 652.51, 978 and 241.44

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Solution

The fourth proportional to 652.51, 978 and 241.44 is: 361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.51 : 978 = 241.44 : x
  2. Step 2: Convert to fraction form
    652.51/978 = 241.44/x
  3. Step 3: Cross multiply
    652.51x = 978 × 241.44
  4. Step 4: Simplify right side
    652.51x = 236,128.32
  5. Step 5: Solve for x
    x = 236,128.32/652.51
  6. Step 6: Final answer
    x = 361.88

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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.