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Finding the Fourth Proportional to 395.58, 546.05 and 354.06

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Solution

The fourth proportional to 395.58, 546.05 and 354.06 is: 488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.58 : 546.05 = 354.06 : x
  2. Step 2: Convert to fraction form
    395.58/546.05 = 354.06/x
  3. Step 3: Cross multiply
    395.58x = 546.05 × 354.06
  4. Step 4: Simplify right side
    395.58x = 193,334.46
  5. Step 5: Solve for x
    x = 193,334.46/395.58
  6. Step 6: Final answer
    x = 488.74

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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.