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Finding the Fourth Proportional to 259.83, 358.29 and 172.35

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Solution

The fourth proportional to 259.83, 358.29 and 172.35 is: 237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.83 : 358.29 = 172.35 : x
  2. Step 2: Convert to fraction form
    259.83/358.29 = 172.35/x
  3. Step 3: Cross multiply
    259.83x = 358.29 × 172.35
  4. Step 4: Simplify right side
    259.83x = 61,751.28
  5. Step 5: Solve for x
    x = 61,751.28/259.83
  6. Step 6: Final answer
    x = 237.66

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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.