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Finding the Fourth Proportional to 288.16, 395.48 and 283.70

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Solution

The fourth proportional to 288.16, 395.48 and 283.70 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 395.48 = 283.70 : x
  2. Step 2: Convert to fraction form
    288.16/395.48 = 283.70/x
  3. Step 3: Cross multiply
    288.16x = 395.48 × 283.70
  4. Step 4: Simplify right side
    288.16x = 112,199.37
  5. Step 5: Solve for x
    x = 112,199.37/288.16
  6. Step 6: Final answer
    x = 389.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.