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Finding the Fourth Proportional to 369.23, 552.77 and 259.40

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Solution

The fourth proportional to 369.23, 552.77 and 259.40 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.23 : 552.77 = 259.40 : x
  2. Step 2: Convert to fraction form
    369.23/552.77 = 259.40/x
  3. Step 3: Cross multiply
    369.23x = 552.77 × 259.40
  4. Step 4: Simplify right side
    369.23x = 143,384.48
  5. Step 5: Solve for x
    x = 143,384.48/369.23
  6. Step 6: Final answer
    x = 388.34

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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.