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Finding the Fourth Proportional to 395.31, 545.07 and 384.60

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Solution

The fourth proportional to 395.31, 545.07 and 384.60 is: 530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.31 : 545.07 = 384.60 : x
  2. Step 2: Convert to fraction form
    395.31/545.07 = 384.60/x
  3. Step 3: Cross multiply
    395.31x = 545.07 × 384.60
  4. Step 4: Simplify right side
    395.31x = 209,633.92
  5. Step 5: Solve for x
    x = 209,633.92/395.31
  6. Step 6: Final answer
    x = 530.30

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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.