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Finding the Fourth Proportional to 291.16, 435.70 and 213.94

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Solution

The fourth proportional to 291.16, 435.70 and 213.94 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.16 : 435.70 = 213.94 : x
  2. Step 2: Convert to fraction form
    291.16/435.70 = 213.94/x
  3. Step 3: Cross multiply
    291.16x = 435.70 × 213.94
  4. Step 4: Simplify right side
    291.16x = 93,210.41
  5. Step 5: Solve for x
    x = 93,210.41/291.16
  6. Step 6: Final answer
    x = 320.14

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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.