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Finding the Fourth Proportional to 259, 390.45 and 255.16

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Solution

The fourth proportional to 259, 390.45 and 255.16 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 390.45 = 255.16 : x
  2. Step 2: Convert to fraction form
    259/390.45 = 255.16/x
  3. Step 3: Cross multiply
    259x = 390.45 × 255.16
  4. Step 4: Simplify right side
    259x = 99,627.22
  5. Step 5: Solve for x
    x = 99,627.22/259
  6. Step 6: Final answer
    x = 384.66

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Why These Related Problems?

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