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Finding the Fourth Proportional to 256.58, 386.60 and 211.93

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Solution

The fourth proportional to 256.58, 386.60 and 211.93 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.58 : 386.60 = 211.93 : x
  2. Step 2: Convert to fraction form
    256.58/386.60 = 211.93/x
  3. Step 3: Cross multiply
    256.58x = 386.60 × 211.93
  4. Step 4: Simplify right side
    256.58x = 81,931.30
  5. Step 5: Solve for x
    x = 81,931.30/256.58
  6. Step 6: Final answer
    x = 319.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.