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Finding the Fourth Proportional to 214.64, 320.63 and 156.36

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Solution

The fourth proportional to 214.64, 320.63 and 156.36 is: 233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 320.63 = 156.36 : x
  2. Step 2: Convert to fraction form
    214.64/320.63 = 156.36/x
  3. Step 3: Cross multiply
    214.64x = 320.63 × 156.36
  4. Step 4: Simplify right side
    214.64x = 50,133.71
  5. Step 5: Solve for x
    x = 50,133.71/214.64
  6. Step 6: Final answer
    x = 233.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.