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Finding the Fourth Proportional to 533.06, 735.55 and 305.93

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Solution

The fourth proportional to 533.06, 735.55 and 305.93 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.06 : 735.55 = 305.93 : x
  2. Step 2: Convert to fraction form
    533.06/735.55 = 305.93/x
  3. Step 3: Cross multiply
    533.06x = 735.55 × 305.93
  4. Step 4: Simplify right side
    533.06x = 225,026.81
  5. Step 5: Solve for x
    x = 225,026.81/533.06
  6. Step 6: Final answer
    x = 422.14

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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.