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Finding the Fourth Proportional to 603.51, 905.01 and 256.83

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Solution

The fourth proportional to 603.51, 905.01 and 256.83 is: 385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.51 : 905.01 = 256.83 : x
  2. Step 2: Convert to fraction form
    603.51/905.01 = 256.83/x
  3. Step 3: Cross multiply
    603.51x = 905.01 × 256.83
  4. Step 4: Simplify right side
    603.51x = 232,433.72
  5. Step 5: Solve for x
    x = 232,433.72/603.51
  6. Step 6: Final answer
    x = 385.14

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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.