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Finding the Fourth Proportional to 425.84, 639 and 152.16

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Solution

The fourth proportional to 425.84, 639 and 152.16 is: 228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.84 : 639 = 152.16 : x
  2. Step 2: Convert to fraction form
    425.84/639 = 152.16/x
  3. Step 3: Cross multiply
    425.84x = 639 × 152.16
  4. Step 4: Simplify right side
    425.84x = 97,230.24
  5. Step 5: Solve for x
    x = 97,230.24/425.84
  6. Step 6: Final answer
    x = 228.33

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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.