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Finding the Fourth Proportional to 291.79, 434.77 and 286.93

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Solution

The fourth proportional to 291.79, 434.77 and 286.93 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.79 : 434.77 = 286.93 : x
  2. Step 2: Convert to fraction form
    291.79/434.77 = 286.93/x
  3. Step 3: Cross multiply
    291.79x = 434.77 × 286.93
  4. Step 4: Simplify right side
    291.79x = 124,748.56
  5. Step 5: Solve for x
    x = 124,748.56/291.79
  6. Step 6: Final answer
    x = 427.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.