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Finding the Fourth Proportional to 364.98, 547.91 and 288.00

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Solution

The fourth proportional to 364.98, 547.91 and 288.00 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.98 : 547.91 = 288.00 : x
  2. Step 2: Convert to fraction form
    364.98/547.91 = 288.00/x
  3. Step 3: Cross multiply
    364.98x = 547.91 × 288.00
  4. Step 4: Simplify right side
    364.98x = 157,797.96
  5. Step 5: Solve for x
    x = 157,797.96/364.98
  6. Step 6: Final answer
    x = 432.34

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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.