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Finding the Fourth Proportional to 383.13, 529.34 and 259.20

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Solution

The fourth proportional to 383.13, 529.34 and 259.20 is: 358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.13 : 529.34 = 259.20 : x
  2. Step 2: Convert to fraction form
    383.13/529.34 = 259.20/x
  3. Step 3: Cross multiply
    383.13x = 529.34 × 259.20
  4. Step 4: Simplify right side
    383.13x = 137,203.63
  5. Step 5: Solve for x
    x = 137,203.63/383.13
  6. Step 6: Final answer
    x = 358.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.