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Finding the Fourth Proportional to 533.52, 735.99 and 346.98

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Solution

The fourth proportional to 533.52, 735.99 and 346.98 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 735.99 = 346.98 : x
  2. Step 2: Convert to fraction form
    533.52/735.99 = 346.98/x
  3. Step 3: Cross multiply
    533.52x = 735.99 × 346.98
  4. Step 4: Simplify right side
    533.52x = 255,373.81
  5. Step 5: Solve for x
    x = 255,373.81/533.52
  6. Step 6: Final answer
    x = 478.66

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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.