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Finding the Fourth Proportional to 522.06, 783.12 and 156.90

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Solution

The fourth proportional to 522.06, 783.12 and 156.90 is: 235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 783.12 = 156.90 : x
  2. Step 2: Convert to fraction form
    522.06/783.12 = 156.90/x
  3. Step 3: Cross multiply
    522.06x = 783.12 × 156.90
  4. Step 4: Simplify right side
    522.06x = 122,871.53
  5. Step 5: Solve for x
    x = 122,871.53/522.06
  6. Step 6: Final answer
    x = 235.36

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Why These Related Problems?

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