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Finding the Fourth Proportional to 430.12, 644.86 and 259.08

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Solution

The fourth proportional to 430.12, 644.86 and 259.08 is: 388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 644.86 = 259.08 : x
  2. Step 2: Convert to fraction form
    430.12/644.86 = 259.08/x
  3. Step 3: Cross multiply
    430.12x = 644.86 × 259.08
  4. Step 4: Simplify right side
    430.12x = 167,070.33
  5. Step 5: Solve for x
    x = 167,070.33/430.12
  6. Step 6: Final answer
    x = 388.43

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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.