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Finding the Fourth Proportional to 533.03, 734.42 and 358.07

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Solution

The fourth proportional to 533.03, 734.42 and 358.07 is: 493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.03 : 734.42 = 358.07 : x
  2. Step 2: Convert to fraction form
    533.03/734.42 = 358.07/x
  3. Step 3: Cross multiply
    533.03x = 734.42 × 358.07
  4. Step 4: Simplify right side
    533.03x = 262,968.31
  5. Step 5: Solve for x
    x = 262,968.31/533.03
  6. Step 6: Final answer
    x = 493.35

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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.