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Finding the Fourth Proportional to 560.21, 840.21 and 149.35

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Solution

The fourth proportional to 560.21, 840.21 and 149.35 is: 223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 840.21 = 149.35 : x
  2. Step 2: Convert to fraction form
    560.21/840.21 = 149.35/x
  3. Step 3: Cross multiply
    560.21x = 840.21 × 149.35
  4. Step 4: Simplify right side
    560.21x = 125,481.16
  5. Step 5: Solve for x
    x = 125,481.16/560.21
  6. Step 6: Final answer
    x = 223.99

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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.