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Finding the Fourth Proportional to 360.69, 540 and 292.35

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Solution

The fourth proportional to 360.69, 540 and 292.35 is: 437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.69 : 540 = 292.35 : x
  2. Step 2: Convert to fraction form
    360.69/540 = 292.35/x
  3. Step 3: Cross multiply
    360.69x = 540 × 292.35
  4. Step 4: Simplify right side
    360.69x = 157,869
  5. Step 5: Solve for x
    x = 157,869/360.69
  6. Step 6: Final answer
    x = 437.69

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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.