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Finding the Fourth Proportional to 399.18, 545.76 and 384.06

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Solution

The fourth proportional to 399.18, 545.76 and 384.06 is: 525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.18 : 545.76 = 384.06 : x
  2. Step 2: Convert to fraction form
    399.18/545.76 = 384.06/x
  3. Step 3: Cross multiply
    399.18x = 545.76 × 384.06
  4. Step 4: Simplify right side
    399.18x = 209,604.59
  5. Step 5: Solve for x
    x = 209,604.59/399.18
  6. Step 6: Final answer
    x = 525.09

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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.