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Finding the Fourth Proportional to 370.87, 557.06 and 284.60

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Solution

The fourth proportional to 370.87, 557.06 and 284.60 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.87 : 557.06 = 284.60 : x
  2. Step 2: Convert to fraction form
    370.87/557.06 = 284.60/x
  3. Step 3: Cross multiply
    370.87x = 557.06 × 284.60
  4. Step 4: Simplify right side
    370.87x = 158,539.28
  5. Step 5: Solve for x
    x = 158,539.28/370.87
  6. Step 6: Final answer
    x = 427.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.