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Finding the Fourth Proportional to 530.64, 795.28 and 256.16

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Solution

The fourth proportional to 530.64, 795.28 and 256.16 is: 383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 795.28 = 256.16 : x
  2. Step 2: Convert to fraction form
    530.64/795.28 = 256.16/x
  3. Step 3: Cross multiply
    530.64x = 795.28 × 256.16
  4. Step 4: Simplify right side
    530.64x = 203,718.92
  5. Step 5: Solve for x
    x = 203,718.92/530.64
  6. Step 6: Final answer
    x = 383.91

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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.