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Finding the Fourth Proportional to 381.24, 568.40 and 358.00

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Solution

The fourth proportional to 381.24, 568.40 and 358.00 is: 533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 568.40 = 358.00 : x
  2. Step 2: Convert to fraction form
    381.24/568.40 = 358.00/x
  3. Step 3: Cross multiply
    381.24x = 568.40 × 358.00
  4. Step 4: Simplify right side
    381.24x = 203,483.99
  5. Step 5: Solve for x
    x = 203,483.99/381.24
  6. Step 6: Final answer
    x = 533.74

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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.