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Finding the Fourth Proportional to 434.64, 651.56 and 191.30

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Solution

The fourth proportional to 434.64, 651.56 and 191.30 is: 286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.64 : 651.56 = 191.30 : x
  2. Step 2: Convert to fraction form
    434.64/651.56 = 191.30/x
  3. Step 3: Cross multiply
    434.64x = 651.56 × 191.30
  4. Step 4: Simplify right side
    434.64x = 124,643.43
  5. Step 5: Solve for x
    x = 124,643.43/434.64
  6. Step 6: Final answer
    x = 286.77

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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.