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Finding the Fourth Proportional to 240.21, 358.69 and 238.77

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Solution

The fourth proportional to 240.21, 358.69 and 238.77 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.21 : 358.69 = 238.77 : x
  2. Step 2: Convert to fraction form
    240.21/358.69 = 238.77/x
  3. Step 3: Cross multiply
    240.21x = 358.69 × 238.77
  4. Step 4: Simplify right side
    240.21x = 85,643.81
  5. Step 5: Solve for x
    x = 85,643.81/240.21
  6. Step 6: Final answer
    x = 356.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.