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Finding the Fourth Proportional to 358.89, 535.94 and 306.93

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Solution

The fourth proportional to 358.89, 535.94 and 306.93 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.89 : 535.94 = 306.93 : x
  2. Step 2: Convert to fraction form
    358.89/535.94 = 306.93/x
  3. Step 3: Cross multiply
    358.89x = 535.94 × 306.93
  4. Step 4: Simplify right side
    358.89x = 164,494.53
  5. Step 5: Solve for x
    x = 164,494.53/358.89
  6. Step 6: Final answer
    x = 458.34

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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.