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Finding the Fourth Proportional to 389.16, 535.86 and 358.20

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Solution

The fourth proportional to 389.16, 535.86 and 358.20 is: 493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 535.86 = 358.20 : x
  2. Step 2: Convert to fraction form
    389.16/535.86 = 358.20/x
  3. Step 3: Cross multiply
    389.16x = 535.86 × 358.20
  4. Step 4: Simplify right side
    389.16x = 191,945.05
  5. Step 5: Solve for x
    x = 191,945.05/389.16
  6. Step 6: Final answer
    x = 493.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.