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Finding the Fourth Proportional to 560.19, 840.18 and 286.14

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Solution

The fourth proportional to 560.19, 840.18 and 286.14 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.19 : 840.18 = 286.14 : x
  2. Step 2: Convert to fraction form
    560.19/840.18 = 286.14/x
  3. Step 3: Cross multiply
    560.19x = 840.18 × 286.14
  4. Step 4: Simplify right side
    560.19x = 240,409.11
  5. Step 5: Solve for x
    x = 240,409.11/560.19
  6. Step 6: Final answer
    x = 429.16

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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.