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Finding the Fourth Proportional to 395.60, 546.98 and 389.40

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Solution

The fourth proportional to 395.60, 546.98 and 389.40 is: 538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 546.98 = 389.40 : x
  2. Step 2: Convert to fraction form
    395.60/546.98 = 389.40/x
  3. Step 3: Cross multiply
    395.60x = 546.98 × 389.40
  4. Step 4: Simplify right side
    395.60x = 212,994.01
  5. Step 5: Solve for x
    x = 212,994.01/395.60
  6. Step 6: Final answer
    x = 538.41

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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.