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Finding the Fourth Proportional to 389.00, 583.50 and 96.50

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Solution

The fourth proportional to 389.00, 583.50 and 96.50 is: 144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.00 : 583.50 = 96.50 : x
  2. Step 2: Convert to fraction form
    389.00/583.50 = 96.50/x
  3. Step 3: Cross multiply
    389.00x = 583.50 × 96.50
  4. Step 4: Simplify right side
    389.00x = 56,306.24
  5. Step 5: Solve for x
    x = 56,306.24/389.00
  6. Step 6: Final answer
    x = 144.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.