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Finding the Fourth Proportional to 476.16, 714.20 and 202.25

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Solution

The fourth proportional to 476.16, 714.20 and 202.25 is: 303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 714.20 = 202.25 : x
  2. Step 2: Convert to fraction form
    476.16/714.20 = 202.25/x
  3. Step 3: Cross multiply
    476.16x = 714.20 × 202.25
  4. Step 4: Simplify right side
    476.16x = 144,442.37
  5. Step 5: Solve for x
    x = 144,442.37/476.16
  6. Step 6: Final answer
    x = 303.35

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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.