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Finding the Fourth Proportional to 465.93, 643.00 and 256.12

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Solution

The fourth proportional to 465.93, 643.00 and 256.12 is: 353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.93 : 643.00 = 256.12 : x
  2. Step 2: Convert to fraction form
    465.93/643.00 = 256.12/x
  3. Step 3: Cross multiply
    465.93x = 643.00 × 256.12
  4. Step 4: Simplify right side
    465.93x = 164,685.32
  5. Step 5: Solve for x
    x = 164,685.32/465.93
  6. Step 6: Final answer
    x = 353.46

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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.