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Finding the Fourth Proportional to 604.58, 906.50 and 238.93

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Solution

The fourth proportional to 604.58, 906.50 and 238.93 is: 358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.58 : 906.50 = 238.93 : x
  2. Step 2: Convert to fraction form
    604.58/906.50 = 238.93/x
  3. Step 3: Cross multiply
    604.58x = 906.50 × 238.93
  4. Step 4: Simplify right side
    604.58x = 216,588.38
  5. Step 5: Solve for x
    x = 216,588.38/604.58
  6. Step 6: Final answer
    x = 358.25

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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.