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Finding the Fourth Proportional to 382.95, 570.61 and 342.06

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Solution

The fourth proportional to 382.95, 570.61 and 342.06 is: 509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 570.61 = 342.06 : x
  2. Step 2: Convert to fraction form
    382.95/570.61 = 342.06/x
  3. Step 3: Cross multiply
    382.95x = 570.61 × 342.06
  4. Step 4: Simplify right side
    382.95x = 195,181.14
  5. Step 5: Solve for x
    x = 195,181.14/382.95
  6. Step 6: Final answer
    x = 509.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.