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Finding the Fourth Proportional to 503.76, 755.64 and 260.16

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Solution

The fourth proportional to 503.76, 755.64 and 260.16 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.76 : 755.64 = 260.16 : x
  2. Step 2: Convert to fraction form
    503.76/755.64 = 260.16/x
  3. Step 3: Cross multiply
    503.76x = 755.64 × 260.16
  4. Step 4: Simplify right side
    503.76x = 196,587.30
  5. Step 5: Solve for x
    x = 196,587.30/503.76
  6. Step 6: Final answer
    x = 390.24

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