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Finding the Fourth Proportional to 465.81, 643.19 and 291.21

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Solution

The fourth proportional to 465.81, 643.19 and 291.21 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.81 : 643.19 = 291.21 : x
  2. Step 2: Convert to fraction form
    465.81/643.19 = 291.21/x
  3. Step 3: Cross multiply
    465.81x = 643.19 × 291.21
  4. Step 4: Simplify right side
    465.81x = 187,303.36
  5. Step 5: Solve for x
    x = 187,303.36/465.81
  6. Step 6: Final answer
    x = 402.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.