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Finding the Fourth Proportional to 346.50, 521.80 and 301.40

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Solution

The fourth proportional to 346.50, 521.80 and 301.40 is: 453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 521.80 = 301.40 : x
  2. Step 2: Convert to fraction form
    346.50/521.80 = 301.40/x
  3. Step 3: Cross multiply
    346.50x = 521.80 × 301.40
  4. Step 4: Simplify right side
    346.50x = 157,269.77
  5. Step 5: Solve for x
    x = 157,269.77/346.50
  6. Step 6: Final answer
    x = 453.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.