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Finding the Fourth Proportional to 264.34, 364.78 and 153.81

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Solution

The fourth proportional to 264.34, 364.78 and 153.81 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.34 : 364.78 = 153.81 : x
  2. Step 2: Convert to fraction form
    264.34/364.78 = 153.81/x
  3. Step 3: Cross multiply
    264.34x = 364.78 × 153.81
  4. Step 4: Simplify right side
    264.34x = 56,106.81
  5. Step 5: Solve for x
    x = 56,106.81/264.34
  6. Step 6: Final answer
    x = 212.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.