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Finding the Fourth Proportional to 556.16, 767.45 and 307.42

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Solution

The fourth proportional to 556.16, 767.45 and 307.42 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.16 : 767.45 = 307.42 : x
  2. Step 2: Convert to fraction form
    556.16/767.45 = 307.42/x
  3. Step 3: Cross multiply
    556.16x = 767.45 × 307.42
  4. Step 4: Simplify right side
    556.16x = 235,928.33
  5. Step 5: Solve for x
    x = 235,928.33/556.16
  6. Step 6: Final answer
    x = 424.21

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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.