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Finding the Fourth Proportional to 356.16, 536.28 and 260.64

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Solution

The fourth proportional to 356.16, 536.28 and 260.64 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 536.28 = 260.64 : x
  2. Step 2: Convert to fraction form
    356.16/536.28 = 260.64/x
  3. Step 3: Cross multiply
    356.16x = 536.28 × 260.64
  4. Step 4: Simplify right side
    356.16x = 139,776.02
  5. Step 5: Solve for x
    x = 139,776.02/356.16
  6. Step 6: Final answer
    x = 392.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.