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Finding the Fourth Proportional to 560.42, 840.00 and 208.78

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Solution

The fourth proportional to 560.42, 840.00 and 208.78 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 840.00 = 208.78 : x
  2. Step 2: Convert to fraction form
    560.42/840.00 = 208.78/x
  3. Step 3: Cross multiply
    560.42x = 840.00 × 208.78
  4. Step 4: Simplify right side
    560.42x = 175,373.88
  5. Step 5: Solve for x
    x = 175,373.88/560.42
  6. Step 6: Final answer
    x = 312.93

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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.