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Finding the Fourth Proportional to 445.65, 614.93 and 259.16

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Solution

The fourth proportional to 445.65, 614.93 and 259.16 is: 357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.65 : 614.93 = 259.16 : x
  2. Step 2: Convert to fraction form
    445.65/614.93 = 259.16/x
  3. Step 3: Cross multiply
    445.65x = 614.93 × 259.16
  4. Step 4: Simplify right side
    445.65x = 159,365.26
  5. Step 5: Solve for x
    x = 159,365.26/445.65
  6. Step 6: Final answer
    x = 357.60

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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.