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Finding the Fourth Proportional to 393.18, 586.34 and 348.93

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Solution

The fourth proportional to 393.18, 586.34 and 348.93 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.18 : 586.34 = 348.93 : x
  2. Step 2: Convert to fraction form
    393.18/586.34 = 348.93/x
  3. Step 3: Cross multiply
    393.18x = 586.34 × 348.93
  4. Step 4: Simplify right side
    393.18x = 204,592.82
  5. Step 5: Solve for x
    x = 204,592.82/393.18
  6. Step 6: Final answer
    x = 520.35

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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.