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Finding the Fourth Proportional to 314.19, 469.00 and 291.03

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Solution

The fourth proportional to 314.19, 469.00 and 291.03 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 469.00 = 291.03 : x
  2. Step 2: Convert to fraction form
    314.19/469.00 = 291.03/x
  3. Step 3: Cross multiply
    314.19x = 469.00 × 291.03
  4. Step 4: Simplify right side
    314.19x = 136,491.61
  5. Step 5: Solve for x
    x = 136,491.61/314.19
  6. Step 6: Final answer
    x = 434.42

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Double scale
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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.