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Finding the Fourth Proportional to 313.62, 468.18 and 291.06

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Solution

The fourth proportional to 313.62, 468.18 and 291.06 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 468.18 = 291.06 : x
  2. Step 2: Convert to fraction form
    313.62/468.18 = 291.06/x
  3. Step 3: Cross multiply
    313.62x = 468.18 × 291.06
  4. Step 4: Simplify right side
    313.62x = 136,268.47
  5. Step 5: Solve for x
    x = 136,268.47/313.62
  6. Step 6: Final answer
    x = 434.50

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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.