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Finding the Fourth Proportional to 622.24, 933.36 and 256.93

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Solution

The fourth proportional to 622.24, 933.36 and 256.93 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.24 : 933.36 = 256.93 : x
  2. Step 2: Convert to fraction form
    622.24/933.36 = 256.93/x
  3. Step 3: Cross multiply
    622.24x = 933.36 × 256.93
  4. Step 4: Simplify right side
    622.24x = 239,808.18
  5. Step 5: Solve for x
    x = 239,808.18/622.24
  6. Step 6: Final answer
    x = 385.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.