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Finding the Fourth Proportional to 382.70, 525.19 and 358.40

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Solution

The fourth proportional to 382.70, 525.19 and 358.40 is: 491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.70 : 525.19 = 358.40 : x
  2. Step 2: Convert to fraction form
    382.70/525.19 = 358.40/x
  3. Step 3: Cross multiply
    382.70x = 525.19 × 358.40
  4. Step 4: Simplify right side
    382.70x = 188,228.10
  5. Step 5: Solve for x
    x = 188,228.10/382.70
  6. Step 6: Final answer
    x = 491.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.