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Finding the Fourth Proportional to 291.04, 434.65 and 233.35

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Solution

The fourth proportional to 291.04, 434.65 and 233.35 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.04 : 434.65 = 233.35 : x
  2. Step 2: Convert to fraction form
    291.04/434.65 = 233.35/x
  3. Step 3: Cross multiply
    291.04x = 434.65 × 233.35
  4. Step 4: Simplify right side
    291.04x = 101,425.58
  5. Step 5: Solve for x
    x = 101,425.58/291.04
  6. Step 6: Final answer
    x = 348.49

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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.