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Finding the Fourth Proportional to 292.77, 434.25 and 288.45

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Solution

The fourth proportional to 292.77, 434.25 and 288.45 is: 427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.77 : 434.25 = 288.45 : x
  2. Step 2: Convert to fraction form
    292.77/434.25 = 288.45/x
  3. Step 3: Cross multiply
    292.77x = 434.25 × 288.45
  4. Step 4: Simplify right side
    292.77x = 125,259.41
  5. Step 5: Solve for x
    x = 125,259.41/292.77
  6. Step 6: Final answer
    x = 427.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.